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Finding the Fourth Proportional to 25,697.16, 38,476.14 and 13,359.24

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Solution

The fourth proportional to 25,697.16, 38,476.14 and 13,359.24 is: 20,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.16 : 38,476.14 = 13,359.24 : x
  2. Step 2: Convert to fraction form
    25,697.16/38,476.14 = 13,359.24/x
  3. Step 3: Cross multiply
    25,697.16x = 38,476.14 × 13,359.24
  4. Step 4: Simplify right side
    25,697.16x = 514,011,988.53
  5. Step 5: Solve for x
    x = 514,011,988.53/25,697.16
  6. Step 6: Final answer
    x = 20,002.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.